Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
The main contribution of this paper is the construction of a strong duality for the varieties generated by a set of subalgebras of a semi-primal algebra. We also obtain an axiomatization of the objects of the dual category and develop some algebraic consequences (description of the dual of the finit...
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/836 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543273750888448 |
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| author | Mathonet, P. Niederkorn, P. Teheux, B. |
| author_facet | Mathonet, P. Niederkorn, P. Teheux, B. |
| author_sort | Mathonet, P. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T11:52:32Z |
| description | The main contribution of this paper is the construction of a strong duality for the varieties generated by a set of subalgebras of a semi-primal algebra. We also obtain an axiomatization of the objects of the dual category and develop some algebraic consequences (description of the dual of the finite structures and algebras, construction of finitely generated free algebras,...). Eventually, we illustrate this work for the finitely generated varieties of MV-algebras. |
| first_indexed | 2025-12-02T15:32:54Z |
| format | Article |
| id | admjournalluguniveduua-article-836 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:32:54Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8362018-03-21T11:52:32Z Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra Mathonet, P. Niederkorn, P. Teheux, B. MV-algebras, Natural duality, Semi-primal algebras 06D35; 08B The main contribution of this paper is the construction of a strong duality for the varieties generated by a set of subalgebras of a semi-primal algebra. We also obtain an axiomatization of the objects of the dual category and develop some algebraic consequences (description of the dual of the finite structures and algebras, construction of finitely generated free algebras,...). Eventually, we illustrate this work for the finitely generated varieties of MV-algebras. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/836 Algebra and Discrete Mathematics; Vol 6, No 1 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/836/367 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | MV-algebras Natural duality Semi-primal algebras 06D35 08B Mathonet, P. Niederkorn, P. Teheux, B. Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title | Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_full | Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_fullStr | Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_full_unstemmed | Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_short | Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_sort | natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| topic | MV-algebras Natural duality Semi-primal algebras 06D35 08B |
| topic_facet | MV-algebras Natural duality Semi-primal algebras 06D35 08B |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/836 |
| work_keys_str_mv | AT mathonetp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT niederkornp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT teheuxb naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra |